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If x is the least positive integer satisfying 97 ≡ x(mod 5), then $x^2-1$ is equal to: |
5 3 1 4 |
3 |
The correct answer is Option (2) → 3 $97 \equiv x \ (\text{mod } 5)$ $97 = 5 \times 19 + 2 \Rightarrow x = 2$ $x^2 - 1 = 2^2 - 1 = 4 - 1 = 3$ $x^2 - 1 = 3$ |
